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Find the specific function values.$$f(x, y, z)=\sqrt{49-x^{2}-y^{2}-z^{2}}$$a. $f(0,0,0)$b. $f(2,-3,6)$c. $f(-1,2,3)$d. $f\left(\frac{4}{\sqrt{2}}, \frac{5}{\sqrt{2}}, \frac{6}{\sqrt{2}}\right)$

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$$7,0, \sqrt{35}, \text { and } \sqrt{\frac{21}{2}}$$

Calculus 3

Chapter 14

Partial Derivatives

Section 1

Functions of Several Variables

Campbell University

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University of Michigan - Ann Arbor

Idaho State University

Lectures

12:15

In calculus, partial derivatives are derivatives of a function with respect to one or more of its arguments, where the other arguments are treated as constants. Partial derivatives contrast with total derivatives, which are derivatives of the total function with respect to all of its arguments.

04:14

02:37

In Exercises $1-4,$ find t…

05:17

Let $f(x, y)=\sqrt{4 y^{2}…

02:25

Let $f(x, y)=\sqrt{y^{2}+4…

01:17

Let $f(x, y)=x^{2} y+\sqrt…

00:34

Find the function values.<…

01:44

Determine whether the equa…

02:54

Find the specific function…

01:57

03:38

Determine $f^{\prime}(a)$ …

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